Practice Examples And Case Studies (13.8) - Normal Modes of Vibration - Earthquake Engineering - Vol 1

Practice: Examples and Case Studies

Lesson 13.8Normal Modes of Vibration

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8 questions

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6 sample questions

Question 1.
What defines a two-degree-of-freedom system?
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Think of how many ways it can move.
Question 2.
What are participation factors?
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They help understand the importance of modes in vibration.
3Question 3.
What is the significance of natural frequencies in a system?
- They determine the stiffness
- They represent the system's preferred oscillation frequency
- They are irrelevant to dynamic analysis
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Consider the frequency at which the system will vibrate the most efficiently.
4Question 4.
True or False: In a two-degree-of-freedom system, both modes can oscillate independently.
- True
- False
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Remember the definition of two degrees of freedom.
Question 5.
A two-degree-of-freedom system has a mass matrix M = [[2, 0], [0, 3]] and a stiffness matrix K = [[6, -2], [-2, 5]]. Calculate the natural frequencies.
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Use the determinant to create your characteristic equation.
Question 6.
For a three-storey shear building, explain how you would determine which modes are significant for seismic analysis and how you would approach the modal validation.
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Look at how much each mode contributes to the overall movement.

4 more questions in this section. Enroll free to practise them all.